If you try to rush this it will take you WAY longer to be able to do these. If you follow these steps, not only will you be able to do these questions, but most algebra will seem sooooooo much easier.
Trust me when I say, doing this properly will have huge benefits. It will fix all of those words you never understood. It will explain why you do these steps. So in an exam you won’t forget because you won’t be memorising something. You will just know what to do because it makes sense.
To get to this stage, to mater simultaneous quadratic equations – you must first be comfortable with the following concepts. It isn’t as bad as you think, so just take them one at a time.
1. What a quadratic equation is.
2. What simultaneous equations are, and why solving them is so much harder than a single equation.
3. What the differences between simultaneous quadratic equations and simultaneous linear equations are.
4. How to solve the easier version, simultaneous linear equations.
5. How to substitute one equation into another.
6. How to expand equations with expressions like $(x+5)^2$ and $(3x-5)(x+2)$.
7. How to solve quadratic equations and the the two values of $x$ or $y$.
8. How to find the matching value of $y$ for each of the two values of $x$. Or the $x$ values if you have found the $y$ values first!
9. $x$
1) A quadratic equation is an equation where there is an $x^2$ term. Like: $$y=3x^2-3$$ $$2y-4x=6-x^2$$ $$x^2=6$$.
2) Above there were 3 equations. The first two involved two unknowns, $x$ and $y$. The 3rd one just 1, $x$.
By Atomic